Abstract
The purpose of this work is to present a general framework for the computation of time responses of viscoelastically damped systems, by using recurrence formulas involving internal variables into a time discretization scheme. The most common viscoelastic models are studied, and especially the four-parameter fractional derivative model. After presenting the numerical methodology adapted to the representation of the constitutive behavior, the proposed approach is applied to the computation of time responses of structures treated with constrained viscoelastic layers.
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References
Golla, D.F., Hughes, P.C.: Dynamics of viscoelastic structures – a time domain finite formulation. J. Appl. Mech. 52, 897–906 (1985)
Lesieutre, G.A., Bianchini, E.: Time domain modeling of linear viscoelastic using anelastic displacement fields. J. Vib. Acoust. 117, 424–430 (1995)
Bagley, R.L., Torvik, P.J.: A theoretical basis for the application of fractional calculus to viscoelasticity. J. Rheol. 27, 201–210 (1983)
Vasques, C.M.A., Moreira, R.A.S., Dias Rodrigues, J.: Viscoelastic damping technologies – part I: modeling and finite element implementation. J. Adv. Res. Mech. Eng. 1, 76–95 (2010)
Simo, J.C., Hughes, T.J.R.: Computational Inelasticity. Springer, Beijing (1998)
Galucio, A.C., Deü, J.-F., Ohayon, R.: Finite element formulation of viscoelastic sandwich beams using fractional derivative operators. Comput. Mech. 33, 282–291 (2004)
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© 2019 The Society for Experimental Mechanics, Inc.
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Deü, JF., Rouleau, L. (2019). A General Framework for Time Domain Finite Element Analysis of Viscoelastically Damped Structures. In: Kerschen, G. (eds) Nonlinear Dynamics, Volume 1. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-74280-9_43
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DOI: https://doi.org/10.1007/978-3-319-74280-9_43
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Online ISBN: 978-3-319-74280-9
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